The Premium Pencil Company makes perfectly cylindrical pencils that are 9 mm in diameter and 145 mm long. Ten pencils are placed snugly in one layer side-by-side in a package. How many packages of pencils will a 145 cm by 145 cm by 9 cm box hold?
145 cm = 1450mm
9 cm = 90 mm
Volume of 10 pencils = 10 pi (4.5)^2 * 145 ≈ 92,245 mm^3
Volume of box = 1450^2 * 90 = 189225000 mm^3
floor [ 189225000 / 92,245 ] = 2051 packages
